What amendment addressed the establishment of succession for the presidency?

The 25th Amendment to the United States Constitution specifically addresses presidential succession and the filling of a vice presidential vacancy. Ratified in 1967, this amendment outlines the procedures for a president who becomes unable to perform their duties, whether due to death, resignation, or incapacitation. It provides clarity on how the vice president assumes the role of acting president in such situations and establishes the protocol for selecting a new vice president if that position becomes vacant.

The importance of this amendment lies in its ability to ensure continuity and stability in the executive branch of the government, thereby preventing any constitutional crises related to presidential succession. The other amendments listed in the options do not pertain to presidential succession; thus, the 25th Amendment is the correct choice due to its direct relevance to the subject.